Endgame items

+75 Attack Damage
UNIQUE Passive: +20% Life Steal
UNIQUE Passive: Your basic attacks can now overheal you. Excess life is stored as a shield that can block 50-350 damage, based on champion level.
This shield decays slowly if you haven't dealt or taken damage in the last 25 seconds.

Iceborn Gauntlet

+65 Armor
+20% Cooldown Reduction
+500 Mana
UNIQUE Passive - Spellblade: After using an ability, the next basic attack deals bonus physical damage equal to 125% of base Attack Damage in an area and creates an icy zone for 2 seconds that slows Movement Speed by 30% (1.5 second cooldown).
Size of zone increases with bonus armor.

The AP mid will fear you

In this build you will be playing passive in lane phrase by just farming normally. in mid game when you have your core items i whould recommend to go and help other lanes out and give them some kills. later on, you will end up with pretty good sustain and damage in endgame. hope this build works for you because it worked pretty good for me.

Skillorder

OP DMG

this set up on skillorder is basic. you can farm on distance with your q and then go in with ult and q again wich is a really good combo. if you are going to engage on an enemy i whould recommend this order. while in range form: e,q,w then change to close combat form and do q,w,e then finish of by poping ult back to range form for the kill.
i can garantee that this will work.

Summoner spells

Spells

good escape with dot

the flash is really good on jayce since he can swift from range to close combat styles. the ignite is just for the finish off on kills, if you dont really like ignite i whould recommend barrier. Barrier can save you from the last tick of the ignite dot or any dot at all.